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4402112040 = 2332512228089
BaseRepresentation
bin1000001100110001…
…01110011000101000
3102100210100110110200
410012120232120220
533003420041130
62004452312200
7214042222614
oct40630563050
912323313420
104402112040
111959971a27
12a2a312660
13552022431
142da908344
151ab704760
hex10662e628

4402112040 has 48 divisors (see below), whose sum is σ = 14306865300. Its totient is φ = 1173896448.

The previous prime is 4402112017. The next prime is 4402112059. The reversal of 4402112040 is 402112044.

4402112040 is a `hidden beast` number, since 440 + 21 + 1 + 204 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4334642244 + 67469796 = 65838^2 + 8214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6113685 + ... + 6114404.

Almost surely, 24402112040 is an apocalyptic number.

4402112040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4402112040 is an abundant number, since it is smaller than the sum of its proper divisors (9904753260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4402112040 is a wasteful number, since it uses less digits than its factorization.

4402112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228106 (or 12228099 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4402112040 is about 66348.4139976232. The cubic root of 4402112040 is about 1638.9046870338.

Adding to 4402112040 its reverse (402112044), we get a palindrome (4804224084).

The spelling of 4402112040 in words is "four billion, four hundred two million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 12228089 24456178 36684267 48912356 61140445 73368534 97824712 110052801 122280890 146737068 183421335 220105602 244561780 293474136 366842670 440211204 489123560 550264005 733685340 880422408 1100528010 1467370680 2201056020 4402112040